Divergence theorem

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  • #1
joemama69
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Homework Statement



use the divergence theorem to evaluate the integral F dot dA

F = (2x-z)i + x2yj + xz2k

s is the surface enclosing the unit cube and oriented outward

Homework Equations





The Attempt at a Solution



is the the region from -1 to 1 for x y and z

div F = x2 + 2xz + 2

x2 + 2xz + 2 dx = x3/3 + x2z + 2x from -1 to 1

14/3 dy = 14y/3 from -1 to 1 = 28/3

28/3 dz = 28z/3 from -1 to 1 = 56/3

is this correct
 

Answers and Replies

  • #2
HallsofIvy
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No, the "unit cube" is defined by [itex]0\le x\le 1[/itex], [itex]0\le y\le 1[/itex], [itex]0\le z\le 1[/itex].
 

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